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"separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions. Properties of differentiable convex functions are derived and then used in two key chapters of the book, one on optimality conditions for differentiable nonlinear programs and one on duality in nonlinear programming. Generalizations of convex functions to pseudoconvex and quasiconvex functions are given and then used to obtain generalized optimality conditions and duality results in the presence of nonlinear equality constraints. The book has four useful self-contained appendices on vectors and matrices, topological properties of n-dimensional real space, continuity and minimization, and differentiable functions."

"Based on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The main goal of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess. The goal was partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to variety of practical engineering problems is emphasized."

"[Kendaraan listrik memanfaatkan baterai sebagai sumber daya utama penggeraknya. Penting untuk mengetahui kondisi parameter ? parameter baterai seperti tegangan dan arus agar diketahui kemampuan baterai sebagai sumber daya kendaraan listrik. Metode simulasi matematis dapat dilakukan untuk mengetahui nilai parameter ? parameter baterai. Simulasi menggunakan beberapa set baterai yang dioperasikan secara serentak dan bergiliran. Hasil simulasi menunjukkan bahwa jumlah baterai yang dibutuhkan bergantung dari massa kendaraan, kecepatan, perubahan kecepatan dan perkiraan waktu operasional kendaraan. Baterai yang dioperasikan secara serentak menyisakan kapasitas sebesar 24,48% dan baterai yang dioperasikan secara bergiliran menyisakan kapastias sebesar 11,71% untuk menempuh jarak 157,5 Km.;Electric vehicles use battery as a main resource to be a prime mover. Knowing the condition of battery parameters such as current and voltage in order to discover battery power as a main resource of electric vehicle. Mathematical simulation methode might be used to discover parameters that can actuate electric vehicle. The simulation use some sets of battery which are operated simultaneously and rotationally. The result of simulation stated that number of needed battery rely on vehicle mass, velocity, velocity shift, and estimated operational time of vehicle. Battery that is operated silmutaneously have remaining capacity 24.48 % and battery that is operated rotationally have remaining capacity 11.71% for a distance 157.5 Km.;Electric vehicles use battery as a main resource to be a prime mover. Knowing the condition of battery parameters such as current and voltage in order to discover battery power as a main resource of electric vehicle. Mathematical simulation methode might be used to discover parameters that can actuate electric vehicle. The simulation use some sets of battery which are operated simultaneously and rotationally. The result of simulation stated that number of needed battery rely on vehicle mass, velocity, velocity shift, and estimated operational time of vehicle. Battery that is operated silmutaneously have remaining capacity 24.48 % and battery that is operated rotationally have remaining capacity 11.71% for a distance 157.5 Km., Electric vehicles use battery as a main resource to be a prime mover. Knowing the condition of battery parameters such as current and voltage in order to discover battery power as a main resource of electric vehicle. Mathematical simulation methode might be used to discover parameters that can actuate electric vehicle. The simulation use some sets of battery which are operated simultaneously and rotationally. The result of simulation stated that number of needed battery rely on vehicle mass, velocity, velocity shift, and estimated operational time of vehicle. Battery that is operated silmutaneously have remaining capacity 24.48 % and battery that is operated rotationally have remaining capacity 11.71% for a distance 157.5 Km.]"