• Nirmalya Chandra
• Dr. Achintya Das

This paper proposes the design of performance index with Hamiltonian form in discrete time system. The control system is explained by a non linear dynamical state space form. Euler Lagrange Multiplier is applied to this non linear system to get the value of optimum input and state. For implication purpose, the non linear system is expressed as time varying state space form via Linear Differential Inclusions process. The System Controller of state variable with Integral Square Error is expressed here by mean value theorem

Hamiltonian, Euler Lagrange Multiplier, Linear Differential Inclusions, Time Varying State Space Form

"Evaluation of Optimum Control Input and State trajectory in Hamiltonian form and System Matrix via Linear Differential Inclusions Optimization for non linear system", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 5, page no.231-234, May - 2019, Available :http://www.jetir.org/papers/JETIRCN06039.pdf

"Evaluation of Optimum Control Input and State trajectory in Hamiltonian form and System Matrix via Linear Differential Inclusions Optimization for non linear system", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 5, page no. pp231-234, May - 2019, Available at : http://www.jetir.org/papers/JETIRCN06039.pdf