Linear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering.FeaturesCovers both linear and non-linear system theoryExplores state feedback control and state estimator conceptsDiscusses non-linear systems and phase plane analysisIncludes non-linear system stability and bifurcation behaviourElaborates optimal control and estimation